Hom-dendriform algebras are twisted analogs of dendriform and splittings hom-associative algebras. In this paper, we define a cohomology deformations for hom-dendriform We relate to the Hochschild-type cohomol

We exhibit a Poisson module restoring a twisted Poincaré duality between Poisson homology and cohomology for the polynomial algebra R = C[X1, . . . , Xn] endowed with Poisson bracket arising from a uniparametrised quantum affine space. This Poisson module is obtained as the semiclassical limit of the dualising bimodule for Hochschild homology of the corresponding quantum affine space. As a coro...